Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048b |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-661550273298432 = -1 · 215 · 316 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11263,-1152543] |
[a1,a2,a3,a4,a6] |
Generators |
[627242392:2747648385:8365427] |
Generators of the group modulo torsion |
j |
4821669844984/20188912149 |
j-invariant |
L |
5.8665241249903 |
L(r)(E,1)/r! |
Ω |
0.25867272302702 |
Real period |
R |
11.339665144539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048z3 45024d2 |
Quadratic twists by: -4 8 |